Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 193 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ | 0.57 | 0.6943 | 0.8211 | [X:[1.4099], M:[1.0, 0.5901, 1.0], q:[0.6988, 0.9037], qb:[0.3012, 0.5062], phi:[0.3975]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.385 + t^2.422 + 2*t^3. + 3*t^3.615 + 2*t^4.23 + t^4.77 + 2*t^4.807 + t^4.845 + 2*t^5.422 + t^6. + 3*t^6.037 - 2*t^6.578 + 4*t^6.615 + 2*t^6.652 + t^7.155 - 2*t^7.193 + 7*t^7.23 + t^7.267 - 2*t^7.807 + 6*t^7.845 - 2*t^8.385 + 6*t^8.46 - t^4.193/y - t^6.578/y + (2*t^7.807)/y + (2*t^8.385)/y + (2*t^8.422)/y - t^8.963/y - t^4.193*y - t^6.578*y + 2*t^7.807*y + 2*t^8.385*y + 2*t^8.422*y - t^8.963*y | (g2^2*t^2.385)/g1^4 + (g1^6*t^2.422)/g2^3 + (g1^8*t^3.)/g2^5 + (g2^5*t^3.)/g1^8 + (g1^20*t^3.615)/g2^12 + (g1^4*t^3.615)/g2^2 + (g2^8*t^3.615)/g1^12 + (g1^16*t^4.23)/g2^9 + g2*t^4.23 + (g2^4*t^4.77)/g1^8 + (2*g1^2*t^4.807)/g2 + (g1^12*t^4.845)/g2^6 + (g1^14*t^5.422)/g2^8 + (g2^2*t^5.422)/g1^2 - t^6. + (g1^16*t^6.)/g2^10 + (g2^10*t^6.)/g1^16 + (g1^26*t^6.037)/g2^15 + (g1^10*t^6.037)/g2^5 + (g2^5*t^6.037)/g1^6 - (g1^2*t^6.578)/g2^2 - (g2^8*t^6.578)/g1^14 + (g1^28*t^6.615)/g2^17 + (g1^12*t^6.615)/g2^7 + (g2^3*t^6.615)/g1^4 + (g2^13*t^6.615)/g1^20 + (g1^22*t^6.652)/g2^12 + (g1^6*t^6.652)/g2^2 + (g2^6*t^7.155)/g1^12 - (g1^14*t^7.193)/g2^9 - (g2^11*t^7.193)/g1^18 + (g1^40*t^7.23)/g2^24 + (g1^24*t^7.23)/g2^14 + (3*g1^8*t^7.23)/g2^4 + (g2^6*t^7.23)/g1^8 + (g2^16*t^7.23)/g1^24 + (g1^18*t^7.267)/g2^9 - (g1^10*t^7.807)/g2^6 - (g2^4*t^7.807)/g1^6 + (g1^36*t^7.845)/g2^21 + (2*g1^20*t^7.845)/g2^11 + (2*g1^4*t^7.845)/g2 + (g2^9*t^7.845)/g1^12 - (2*g2^2*t^8.385)/g1^4 + (g1^22*t^8.422)/g2^13 - (2*g1^6*t^8.422)/g2^3 + (g2^7*t^8.422)/g1^10 + (2*g1^32*t^8.46)/g2^18 + (2*g1^16*t^8.46)/g2^8 + 2*g2^2*t^8.46 - (g2*t^4.193)/(g1^2*y) - (g2^3*t^6.578)/(g1^6*y) + (2*g1^2*t^7.807)/(g2*y) + (g1^4*t^8.385)/(g2^3*y) + (g2^7*t^8.385)/(g1^12*y) + (g1^14*t^8.422)/(g2^8*y) + (g2^2*t^8.422)/(g1^2*y) - (g2^5*t^8.963)/(g1^10*y) - (g2*t^4.193*y)/g1^2 - (g2^3*t^6.578*y)/g1^6 + (2*g1^2*t^7.807*y)/g2 + (g1^4*t^8.385*y)/g2^3 + (g2^7*t^8.385*y)/g1^12 + (g1^14*t^8.422*y)/g2^8 + (g2^2*t^8.422*y)/g1^2 - (g2^5*t^8.963*y)/g1^10 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 306 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5498 | 0.6599 | 0.8332 | [X:[1.5347], M:[1.0566, 0.4653, 0.9434], q:[0.5913, 1.0566], qb:[0.3522, 0.5913], phi:[0.3522]] | t^2.113 + 2*t^2.83 + t^3.17 + t^3.548 + t^3.887 + 2*t^4.226 + t^4.604 + 3*t^4.943 + 3*t^5.661 - t^6. - t^4.057/y - t^4.057*y | detail | |
| 307 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5873 | 0.7229 | 0.8123 | [X:[1.4386], M:[1.0, 0.5614, 1.0, 0.7807], q:[0.6952, 0.9145], qb:[0.3048, 0.5241], phi:[0.3903]] | 2*t^2.342 + t^2.487 + 2*t^3. + 2*t^3.658 + 2*t^4.316 + 3*t^4.684 + 3*t^4.829 + t^4.974 + 2*t^5.342 + 2*t^5.487 + 2*t^6. - t^4.171/y - t^4.171*y | detail | |
| 305 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |
| 304 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.6667, 1.3333], M:[1.0, 0.3333, 1.0], q:[0.6667, 1.0], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 5/3, X2: 4/3, M1: 1, M2: 1/3, M3: 1, q1: 2/3, q2: 1, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 120 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y | detail |